Ph.D. Dissertation at the University of Basrah Explores Soft Set Theory and Its Applications in Q/p Algebra
A doctoral dissertation at the College of Science, University of Basrah, focused on the study of soft set theory and its applications in Q/p algebra.
The dissertation, submitted by Moataz Sajid Sharqi, aims to examine the structure of commutative algebras Q (CQ-As), clarify the normal subgroups and commutative subfields of Q, and explore their relation to commutative ideals of Q.
A significant portion of the dissertation was devoted to the external direct product of families of CQ-As, where it was demonstrated that this construction preserves the structure of CQ-As and their substructures. Furthermore, in the third chapter, a new structure of commutative Q-algebra was introduced by employing permutations within symmetric groups, accompanied by several related concepts and a discussion of their outcomes.
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